Step-by-step explanation:
0.6 circle is the sector of a circle with sector angle = (0.6 of 360°) = 216°
And area of that sector = 14 sq unit ( given)
As the following ratios are proportional. .
(Sector angle/ complete angle) = ( area of sector) / (area of circle)
=> 216/360 = 14/pi r² ( r is radius of the circle)
=> pi r² * 216 = 360 * 14
=> r² = (360 * 14) / (216pi )
=> r² = 70/(3pi)
=> r = √(70/ 3pi)
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Answers & Comments
Step-by-step explanation:
0.6 circle is the sector of a circle with sector angle = (0.6 of 360°) = 216°
And area of that sector = 14 sq unit ( given)
As the following ratios are proportional. .
(Sector angle/ complete angle) = ( area of sector) / (area of circle)
=> 216/360 = 14/pi r² ( r is radius of the circle)
=> pi r² * 216 = 360 * 14
=> r² = (360 * 14) / (216pi )
=> r² = 70/(3pi)
=> r = √(70/ 3pi)